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2. Relations and Functions
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Q13 of 22 Page 2

What is its domain and range?


(i) Set-builder form:R = {(x,y); y = x - 2 for x= 5,6,7 }
(ii) Roster form: R = {(5,3), (6,4), (7,5)}
Domain = {5,6,7}
Range = {3,4,5}

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11
Define a relation R on the set N of natural numbers by R = {(x,y):y= x + 5, x is a natural number less than 4: x,y N}. Depict this
relationship using roster form. Write down the domain and the range.

12
A = {1,2,3,5} and B = { 4, 6, 9}. Define a relation R from A to B by R= {(x,y): the difference between x and y is odd: x A, y B }.Write R in roster form.

14
Let A = {1, 2, 3, 4, 6}. Let R be the relation on A defined by{(a, b) : a, b ∈ A, b is exactly divisible by a}.  Find (i) R in roster form, (ii) domain of R, (iii) range of R.

15
Determine the domain and range of the relation R defined by R = {(x,x +5): x {0,1,2,3,4,5}}.

Questions · 22
2. Relations and Functions
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